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Finding the Third Proportional to 829,620 and 1,772,964

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Solution

The third proportional to 829,620 and 1,772,964 is: 3,788,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,620 : 1,772,964 = 1,772,964 : x
  2. Step 2: Convert to fraction form
    829,620/1,772,964 = 1,772,964/x
  3. Step 3: Cross multiply
    829,620x = 1,772,964 × 1,772,964
  4. Step 4: Simplify right side
    829,620x = 3,143,401,345,296
  5. Step 5: Solve for x
    x = 3,143,401,345,296/829,620
  6. Step 6: Final answer
    x = 3,788,965.24

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.